Finding the Third Proportional to 82,147.50 and 123,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,147.50 : 123,586.50 = 123,586.50 : x
2. Step 2: Convert to fraction form
   82,147.50/123,586.50 = 123,586.50/x
3. Step 3: Cross multiply
   82,147.50x = 123,586.50 × 123,586.50
4. Step 4: Simplify right side
   82,147.50x = 15,273,622,982.25
5. Step 5: Solve for x
   x = 15,273,622,982.25/82,147.50
6. Step 6: Final answer
   x = 185,929.25